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Finding the Fourth Proportional to 2,950.77, 4,068.27 and 2,417.68

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Solution

The fourth proportional to 2,950.77, 4,068.27 and 2,417.68 is: 3,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.77 : 4,068.27 = 2,417.68 : x
  2. Step 2: Convert to fraction form
    2,950.77/4,068.27 = 2,417.68/x
  3. Step 3: Cross multiply
    2,950.77x = 4,068.27 × 2,417.68
  4. Step 4: Simplify right side
    2,950.77x = 9,835,775.01
  5. Step 5: Solve for x
    x = 9,835,775.01/2,950.77
  6. Step 6: Final answer
    x = 3,333.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.